Solve for x

Question

: 13x−1=19x−25
.(1 point)
Responses

x=4
x equals 4

x=−6
x equals negative 6

x=−9
x equals negative 9

x=3

Answer 1

To solve the equation \( 13x - 1 = 19x - 25 \), follow these steps:

1. Start with the original equation: \[ 13x - 1 = 19x - 25 \]

2. Subtract \( 13x \) from both sides to get the terms involving \( x \) on one side: \[ -1 = 19x - 13x - 25 \]

3. Simplify the equation: \[ -1 = 6x - 25 \]

4. Add 25 to both sides: \[ -1 + 25 = 6x \] \[ 24 = 6x \]

5. Finally, divide both sides by 6: \[ x = \frac{24}{6} = 4 \]

Thus, the solution is: \[ x = 4 \]

The correct response is \( x = 4 \) or "x equals 4".